Mathematician:Jacques Salomon Hadamard

Mathematician

French mathematician who contributed in the fields of:

• Number Theory
• Complex Function Theory
• Differential Geometry
• Partial Differential Equations
• Functional Analysis

Most famous for proving the Prime Number Theorem in $1896$, independently of Charles de la Vallée Poussin.

Nationality

French

History

• Born: 8 December 1865 in Versailles, France
• Died: 17 October 1963 in Paris, France

Theorems and Definitions

• Prime Number Theorem
• Cartan-Hadamard Theorem (with Élie Joseph Cartan)
• Cauchy-Hadamard Theorem (with Augustin Louis Cauchy)
• Ostrowski-Hadamard Gap Theorem (with Alexander Markowich Ostrowski)

• Hadamard Conjecture
• Hadamard Inequality
• Hadamard-Rybczynski Equation (with W. Rybczynski)
• Hadamard Factorization Theorem
• Hadamard Finite Part Integral
• Hadamard's Method of Descent
• Hadamard Three-Circle Theorem

• Hadamard's Canonical Factorization
• Hadamard Configuration
• Hadamard's Dynamical System
• Hadamard Manifold
• Hadamard Matrix
• Hadamard Product (also known as Schur Product, for Issai Schur)
• Hadamard Space
• Hadamard Transform

• The Hadamard-de la Vallée-Poussin Constant (with Charles de la Vallée Poussin), also known as:

The Meissel-Mertens Constant, for Daniel Friedrich Ernst Meissel and Franz Mertens

Kronecker's Constant, for Leopold Kronecker

the Prime Reciprocal Constant

• Boggio-Hadamard Conjecture (with Tommaso Boggio)

Results named for Jacques Salomon Hadamard can be found here.

Definitions of concepts named for Jacques Salomon Hadamard can be found here.

Publications

• 1888: Sur le rayon de convergence des séries ordonnées suivant les puissances d'une variable (C.R. Acad. Sci. Vol. 106: pp. 259 – 262)
• 1923: Lectures on Cauchy's Problem in Linear Partial Differential Equations
• 1926: La série de Taylor et son prolongement analytique (2nd ed.) (with Szolem Mandelbrojt)
• 1945: The Psychology of Invention in the Mathematical Field

Sources

• John J. O'Connor and Edmund F. Robertson: "Jacques Salomon Hadamard": MacTutor History of Mathematics archive

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Hadamard, Jacques Salomon (1865-1963)
• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.32$: Riemann ($\text {1826}$ – $\text {1866}$)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Hadamard, Jacques (1865-1963)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hadamard, Jacques (1865-1963)
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Hadamard, Jacques (1865-1963)